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Finding the Fourth Proportional to 502,113.38, 692,572.53 and 320,744.75

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Solution

The fourth proportional to 502,113.38, 692,572.53 and 320,744.75 is: 442,408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,113.38 : 692,572.53 = 320,744.75 : x
  2. Step 2: Convert to fraction form
    502,113.38/692,572.53 = 320,744.75/x
  3. Step 3: Cross multiply
    502,113.38x = 692,572.53 × 320,744.75
  4. Step 4: Simplify right side
    502,113.38x = 222,139,004,723.15
  5. Step 5: Solve for x
    x = 222,139,004,723.15/502,113.38
  6. Step 6: Final answer
    x = 442,408.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.